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Showing 1 to 3 of 3 for “"Proximity Operator"”.
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Implicit Fixed-point Proximity Framework for Optimization Problems and Its Applications
… and numerically difficult. The fixed-point proximity framework that we will systematically study in this dissertation provides a direct and unified methodology for finding solutions to those optimization problems. The framework approaches the models arising from applications …
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Structured Sparsity Promoting Functions: Theory and Applications
… for the general family of functions via the proximity operator. Results related to the Fenchel Conjugate and Łojasiewicz exponent of these functions are also provided. We further study the behavior of the proximity operators of several special functions including indicator functions of closed …
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Composite Minimization: Proximity Algorithms and Their Applications
… equations that are formulated in terms of the proximity operators of the dual of the prox-friendly functions. By making use of the flexibility</p> <p>provided by this characterization, we develop a block Gauss-Seidel iterative scheme</p> <p>for finding a solution to the optimization problem and …